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12222212100102 = 2331926360797451
BaseRepresentation
bin1011000111011011010010…
…0111000101000000000110
31121021102122222100101102000
42301312310213011000012
53100222042244200402
641554450130330130
72401011544466604
oct261666447050006
947242588311360
1012222212100102
113992458109624
1214548b6129946
136a871b793754
143037b5a92874
15162ddb41cc1c
hexb1db49c5006

12222212100102 has 128 divisors (see below), whose sum is σ = 28707250176000. Its totient is φ = 3843822016800.

The previous prime is 12222212100079. The next prime is 12222212100113. The reversal of 12222212100102 is 20100121222221.

It is a happy number.

12222212100102 is a `hidden beast` number, since 1 + 222 + 221 + 210 + 0 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1640341477 + ... + 1640348927.

It is an arithmetic number, because the mean of its divisors is an integer number (224275392000).

Almost surely, 212222212100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222212100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353625088000).

12222212100102 is an abundant number, since it is smaller than the sum of its proper divisors (16485038075898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12222212100102 is a wasteful number, since it uses less digits than its factorization.

12222212100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13823 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12222212100102 its reverse (20100121222221), we get a palindrome (32322333322323).

The spelling of 12222212100102 in words is "twelve trillion, two hundred twenty-two billion, two hundred twelve million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 263 342 513 526 789 1026 1578 2367 4734 4997 6079 7101 7451 9994 12158 14202 14902 14991 18237 22353 29982 36474 44706 44973 54711 67059 89946 109422 115501 134118 134919 141569 164133 201177 231002 269838 283138 328266 346503 402354 424707 693006 849414 1039509 1274121 1598777 1959613 2079018 2548242 3118527 3197554 3822363 3919226 4796331 5878839 6237054 7644726 9592662 11757678 14388993 17636517 28777986 30376763 35273034 37232647 43166979 45294629 52909551 60753526 74465294 86333958 90589258 91130289 105819102 111697941 135883887 182260578 223395882 271767774 273390867 335093823 407651661 546781734 670187646 815303322 820172601 860597951 1005281469 1222954983 1640345202 1721195902 2010562938 2445909966 2581793853 5163587706 7745381559 11912487427 15490763118 23236144677 23824974854 35737462281 46472289354 71474924562 107212386843 214424773686 226337261113 321637160529 452674522226 643274321058 679011783339 1358023566678 2037035350017 4074070700034 6111106050051 12222212100102